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arxiv: 1211.5911 · v1 · pith:XF5AAWX4new · submitted 2012-11-26 · 🧮 math.NT

A trace formula for vector-valued modular forms

classification 🧮 math.NT
keywords formsformulamodularvector-valuedargumentsdistributionevaluatedexpressing
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We present a formula for vector-valued modular forms, expressing the value of the Hilbert-polynomial of the module of holomorphic forms evaluated at specific arguments in terms of traces of representation matrices, restricting the weight distribution of the free generators.

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